85577559 has 24 divisors (see below), whose sum is σ = 119403648. Its totient is φ = 54505440.

The previous prime is 85577543. The next prime is 85577561. The reversal of 85577559 is 95577558.

It is not a de Polignac number, because 85577559 - 2⁴ = 85577543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85577509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275014 + ... + 275324.

It is an arithmetic number, because the mean of its divisors is an integer number (4975152).

Almost surely, 2^85577559 is an apocalyptic number.

85577559 is a deficient number, since it is larger than the sum of its proper divisors (33826089).

85577559 is a wasteful number, since it uses less digits than its factorization.

85577559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 418 counting only the distinct ones).

The product of its digits is 2205000, while the sum is 51.

The square root of 85577559 is about 9250.8139641872. The cubic root of 85577559 is about 440.6765744771.

Subtracting 85577559 from its reverse (95577558), we obtain a palindrome (9999999).

The spelling of 85577559 in words is "eighty-five million, five hundred seventy-seven thousand, five hundred fifty-nine".